In this paper, we propose the new technique that recovers camera parameters from images of orthogonal directions of a moving object, no metric information on the model plane requires. Our approach only requires four observations and each of them provides a vanishing point from its two parallel lines; such four vanishing points provide three independent constraints. Using these points and proposed close form solution, camera intrinsic parameters can be calculated. Our technique is valid though the calibrating object moves along X-Y axes. At the end, computer simulation technique are implemented to demonstrate the effectiveness of the algorithm.